The prizes at a carnival tossing game are different stuffed animals. There are 34 tigers, 27 bears, 12 hippopotamuses, 16 giraffes, and 22 monkeys. The carnival manager randomly selects a prize when a player wins the game. Determine the probability that the prize selected is not a hippopotamus. Give your answer as a decimal, precise to three decimal places.
Accepted Solution
A:
Answer:[tex]\textbf{Probability that the prize selected is not a bear = }\bf\frac{28}{37}[/tex] Step-by-step explanation:Number of tigers in carnival tossing game = 34Number of bears in carnival tossing game = 27Number of hippopotamuses in carnival tossing game = 12Number of giraffes in carnival tossing game = 16Number of monkeys in carnival tossing game = 22Total number of animals in the carnival tossing game = 34 + 27 + 12 + 16 + 22 = 111Probability that the prize selected is not a bear = 1 - Probability that the prize selected is a bear[tex]\text{Probability that the prize selected is not a bear = }1 -\frac{27}{111}\\\\=\frac{111-27}{111}=\frac{84}{111}=\frac{28}{37}[/tex][tex]\textbf{Hence, Probability that the prize selected is not a bear = }\bf\frac{28}{37}[/tex]